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Finding the Fourth Proportional to 5,065.38, 6,989.92 and 2,827.15

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Solution

The fourth proportional to 5,065.38, 6,989.92 and 2,827.15 is: 3,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.38 : 6,989.92 = 2,827.15 : x
  2. Step 2: Convert to fraction form
    5,065.38/6,989.92 = 2,827.15/x
  3. Step 3: Cross multiply
    5,065.38x = 6,989.92 × 2,827.15
  4. Step 4: Simplify right side
    5,065.38x = 19,761,527.79
  5. Step 5: Solve for x
    x = 19,761,527.79/5,065.38
  6. Step 6: Final answer
    x = 3,901.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.